(5 yd/sec) x (1 mile/1,760 yard) x (3,600 sec/hour) = about 10.227 mile/hour.
we have
5 sec y a r d s
Step 1
Convert 5 yards to miles
by proportion
1 , 760 1 y a r d s mi l e = 5 x y a r d s mi l e x ∗ 1 , 760 = 5 x = 1 , 760 5 mi l es
Step 2
Convert 1 second to hours
by proportion
3 , 600 1 seco n d s h o u r = 1 x seco n d h o u r x ∗ 3 , 600 = 1 x = 3 , 600 1 h o u rs
Step 3
Find the speed in miles per hour
we know that
s p ee d = t im e d i s t an ce s p ee d = ( 1/3 , 600 ) ( 5/1 , 760 ) s p ee d = 1 , 760 5 ∗ 3 , 600 s p ee d = 10.23 h o u r mi l es
therefore
the answer is
10.23 h o u r mi l es
Lorenzo rides his bike at approximately 10.23 miles per hour after converting his speed from yards per second to miles per hour. To find this, we convert 5 yards to miles and then calculate how many miles he covers in one hour. The final result shows his speed in a more common unit for travel distances.
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